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#### Geometric Measure Theory

Elsevier Science 2014; US$ 72.95Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap... more...

#### Geometric Measure Theory and Minimal Surfaces

Springer Berlin Heidelberg 2011; US$ 49.95W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational... more...

#### Geometric Qp Functions

Birkhäuser Basel 2006; US$ 69.99This book documents the rich structure of the holomorphic Q function spaces which are geometric because they transform naturally under conformal mappings, emphasizing recent development based on interaction between geometric function and measure theory, and other branches of mathematical analysis. more...

#### HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACES

World Scientific Publishing Company 2011; US$ 77.00The Henstock–Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Per more...

#### The History of Approximation Theory

Birkhäuser Boston 2007; US$ 129.00* Exciting exposition integrates history, philosophy, and mathematics * Combines a mathematical analysis of approximation theory with an engaging discussion of the differing philosophical underpinnings behind its development * Appendices containing biographical data on numerous eminent mathematicians, explanations of Russian nomenclature and academic... more...

#### Holomorphic Morse Inequalities and Bergman Kernels

Birkhäuser Basel 2007; US$ 109.00Winner of the Ferran Sunyer i Balaguer Prize 2006 more...

#### The Integral

Morgan & Claypool Publishers 2011; US$ 35.00This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral,... more...

#### Integral and Measure

Wiley 2014; US$ 130.00This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical... more...

#### Introduction to Measure Theory and Integration

Scuola Normale Superiore 2012; US$ 29.95Based on an undergraduate course taught by the authors, this book puts Lebesgue's Euclidean space theory into a more general context and presents the basic applications to Fourier series, calculus and real analysis. Includes exercises with detailed solutions. more...

#### Invariant Probabilities of Transition Functions

Springer International Publishing 2014; US$ 129.00The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems,... more...